Article ID Journal Published Year Pages File Type
4622919 Journal of Mathematical Analysis and Applications 2007 15 Pages PDF
Abstract

The initial-boundary value problem in a bounded domain with moving boundaries and nonhomogeneous boundary conditions for the Korteweg–de Vries equation is considered. Existence and uniqueness of global strong solutions are proved as well as the exponential decay of small solutions in asymptotically cylindrical domains.

Related Topics
Physical Sciences and Engineering Mathematics Analysis